由算术喷射空间产生的全纯空间

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2019-10-31 DOI:10.1353/ajm.2023.0006

A. Buium, L. Miller

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引用次数: 1

摘要

摘要：利用算术喷射空间，我们把完备空间附加到光滑方案上，把完备空间的态射附加到光滑格式的$\\delta$-态射上。我们还研究了由理论中出现的一些显著的$\\delta$-态射定义的算术微分方程所附加的完美体空间，如椭圆曲线的$\\delta$-特征和模曲线上的$\\德尔ta$-周期映射。

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Perfectoid spaces arising from arithmetic jet spaces

Abstract:Using arithmetic jet spaces we attach perfectoid spaces to smooth schemes and we attach morphisms of perfectoidspaces to $\\delta$-morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differential equations defined by some of the remarkable $\\delta$-morphisms appearing in the theory such as the $\\delta$-charactersof elliptic curves and the $\\delta$-period maps on modular curves.

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.